h-net: hqc2231

Topological data

Orbifold symbol	*22222
Transitivity (vertex, edge, ring)	(5,6,2)
Vertex degrees	{4,8,3,4,4}
2D vertex symbol	{5.5.5.5}{5.4.4.5.5.4.4.5}{5.4.4}{4.4.4.4}{4.4.4.4}
Delaney-Dress Symbol	<2231.2:13:1 3 5 7 9 11 13,2 4 5 8 13 10 12,1 2 3 6 7 8 9 10 11 12 13:5 4,4 8 3 4 4>
Dual net	hqc2149

Derived s-nets

s-nets with faithful topology

20 records listed.

Image	s-net name	Other names	Space group	Space group number	Symmetry class	Vertex degree(s)	Vertices per primitive unit cell	Transitivity (Vertex, Edge)
	sqc5765		Fmmm	69	orthorhombic	{4,3,4,8,4}	12	(5,6)
	sqc5893		Fmmm	69	orthorhombic	{4,3,8,4,4}	12	(5,6)
	sqc11467		P4/mmm	123	tetragonal	{4,8,3,4,4}	24	(5,6)
	sqc11337		I4122	98	tetragonal	{4,8,3,4,4}	24	(5,7)
	sqc11388		I4122	98	tetragonal	{4,8,3,4,4}	24	(5,7)
	sqc11389		Fddd	70	orthorhombic	{4,8,3,4,4}	24	(5,7)
	sqc11395		I4122	98	tetragonal	{4,8,3,4,4}	24	(5,7)
	sqc11396		I4122	98	tetragonal	{4,8,3,4,4}	24	(5,7)
	sqc11403		Fddd	70	orthorhombic	{4,8,3,4,4}	24	(5,7)
	sqc11404		Fddd	70	orthorhombic	{4,8,3,4,4}	24	(5,7)
	sqc11464		Fddd	70	orthorhombic	{4,8,3,4,4}	24	(5,7)
	sqc11465		Fddd	70	orthorhombic	{4,8,3,4,4}	24	(5,7)
	sqc11485		I4122	98	tetragonal	{4,8,3,4,4}	24	(5,7)
	sqc1095		Pmmm	47	orthorhombic	{4,8,3,4,4}	6	(5,6)
	sqc5763		P4222	93	tetragonal	{3,4,4,8,4}	12	(5,6)
	sqc5764		Cmma	67	orthorhombic	{3,4,8,4,4}	12	(5,6)
	sqc5928		P4222	93	tetragonal	{4,4,3,8,4}	12	(5,6)
	sqc5965		P4222	93	tetragonal	{4,4,4,3,8}	12	(5,6)
	sqc5994		Cmma	67	orthorhombic	{4,8,3,4,4}	12	(5,6)

s-nets with edge collapse

show / hide

Derived U-tilings

10 records listed.

Image	U-tiling name	PGD Subgroup	Transitivity (Vert,Edge,Face)	Vertex Degree	Vertex Symbol	P net	G net	D net
	UQC5621	*22222a	(5,6,2)	{4,8,3,4,4}	{5.5.5.5}{5.4.4.5.5.4.4.5}{5.4.4...	No s‑net	sqc11337	No s‑net
	UQC5622	*22222a	(5,6,2)	{4,8,3,4,4}	{5.5.5.5}{5.4.4.5.5.4.4.5}{5.4.4...	sqc11276	sqc11388	sqc5928
	UQC5623	*22222b	(5,6,2)	{4,8,3,4,4}	{5.5.5.5}{5.4.4.5.5.4.4.5}{5.4.4...	sqc5765	sqc11465	sqc1095
	UQC5624	*22222b	(5,6,2)	{4,8,3,4,4}	{5.5.5.5}{5.4.4.5.5.4.4.5}{5.4.4...	sqc5893	sqc11404	sqc1095
	UQC5625	*22222b	(5,6,2)	{4,8,3,4,4}	{5.5.5.5}{5.4.4.5.5.4.4.5}{5.4.4...	sqc1095	sqc11464	sqc5764
	UQC5626	*22222b	(5,6,2)	{4,8,3,4,4}	{5.5.5.5}{5.4.4.5.5.4.4.5}{5.4.4...	No s‑net	sqc11389	No s‑net
	UQC5627	*22222a	(5,6,2)	{4,8,3,4,4}	{5.5.5.5}{5.4.4.5.5.4.4.5}{5.4.4...	No s‑net	sqc11396	No s‑net
	UQC5628	*22222a	(5,6,2)	{4,8,3,4,4}	{5.5.5.5}{5.4.4.5.5.4.4.5}{5.4.4...	sqc11467	sqc11485	sqc5763
	UQC5629	*22222a	(5,6,2)	{4,8,3,4,4}	{5.5.5.5}{5.4.4.5.5.4.4.5}{5.4.4...	sqc11272	sqc11395	sqc5965
	UQC5630	*22222b	(5,6,2)	{4,8,3,4,4}	{5.5.5.5}{5.4.4.5.5.4.4.5}{5.4.4...	sqc5618	sqc11403	sqc5994

Symmetry-lowered hyperbolic tilings

show / hide